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We investigate the flavour changing neutral currents (FCNC) generated bydimension six four-fermion operators at the Large Hadron-Electron Collider(LHeC) proposed at CERN in an effective approach. This is performed by montecarlo analysis at the full detector level, as the background is successfullyreduced by using invariant mass scheme to require the final states toreconstruct the mass (transverse mass) of the top quark (W boson). Our analysisshows that the future electron proton colliders like the LHeC can probecompetitive limits for the top FCNC dimension six four fermion operators suchas $C_{lq}^{(1)ee31} < 0.0647$, $C_{lu}^{ee31} < 0.109$, $C_{lequ}^{(1)ee31} <0.217$ and $C_{lequ}^{(3)ee31} < 0.0209$ in the Warsaw basis.

Top FCNC interactions through dimension six four-fermion operators at the electron proton collider